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R. Levy, E. Gal, "Buckling of Beams of Varying Cross Section under Axial Compression and Biaxial Bending", in B.H.V. Topping, (Editor), "Developments in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 205-209, 1999. doi:10.4203/ccp.57.10.3

Abstract

This paper is concerned with three-dimensional rectangular beam-columns whose cross sectional dimensions may, symmetrically, vary linearly along their length. The basic four coupled differential equations governing the behavior of three-dimensional beam columns are reformulated to include varying cross sections. A 6x6 stiffness matrix (which is sufficient to describe 3-D behavior) is computed by solving the equations 6 times for a sequence of appropriate discontinuities using the finite difference method. The buckling load of a cantilevered beam undergoing a variety of bi-directional moments for a cross-section of given proportionality and for various end moments of inertia is computed. Interaction diagrams are then plotted to highlight the effect of end moments on the buckling load.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 57 DEVELOPMENTS IN COMPUTATIONAL MECHANICS WITH HIGH PERFORMANCE COMPUTING Edited by: B.H.V. Topping Paper X.3 Buckling of Beams of Varying Cross Section under Axial Compression and Biaxial Bending R. Levy and E. Gal Faculty of Civil Engineering, Technion-Israel Institute of Technology, Technion City, Haifa, Israel doi:10.4203/ccp.57.10.3 purchase the full-text of this paper Full Bibliographic Reference for this paper R. Levy, E. Gal, "Buckling of Beams of Varying Cross Section under Axial Compression and Biaxial Bending", in B.H.V. Topping, (Editor), "Developments in Computational Mechanics with High Performance Computing", Civil-Comp Press, Edinburgh, UK, pp 205-209, 1999. doi:10.4203/ccp.57.10.3 Abstract This paper is concerned with three-dimensional rectangular beam-columns whose cross sectional dimensions may, symmetrically, vary linearly along their length. The basic four coupled differential equations governing the behavior of three-dimensional beam columns are reformulated to include varying cross sections. A 6x6 stiffness matrix (which is sufficient to describe 3-D behavior) is computed by solving the equations 6 times for a sequence of appropriate discontinuities using the finite difference method. The buckling load of a cantilevered beam undergoing a variety of bi-directional moments for a cross-section of given proportionality and for various end moments of inertia is computed. Interaction diagrams are then plotted to highlight the effect of end moments on the buckling load. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £70 +P&P)
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